-135x^2+336x-80=0

Solution for -135x^2+336x-80=0 equation:

-135x^2+336x-80=0

a = -135; b = 336; c = -80;
Δ = b2-4ac
Δ = 3362-4·(-135)·(-80)
Δ = 69696
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{69696}=264$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(336)-264}{2*-135}=\frac{-600}{-270}
=2+2/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(336)+264}{2*-135}=\frac{-72}{-270}
=4/15
$